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iris [78.8K]
3 years ago
8

Beth solved the system of equations by making a substitution for y in the second equation. What equation did she get as a result

of that substitution?
y = 4x – 11
3x + 5y = –9

A. 12x – 11 = –9

B. 12x – 55 = –9

C. 3x + 20x – 55 = –9

D. 3x + 20x – 11 = –9
Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0
Hello there!

The correct answer is option C

3x + 20x - 55 = -9


I am not sure if you wanted some more details but I hope this helps and if you do, just let me and I will edit it.

Good luck with your studies!

Happy New Year!~
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Im going to give 15 points for this question please answer it
Gnom [1K]
I know, you have to divide 90 by what ever the length is, then you have to figure out where the points are. So it should be.... D!!!
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3 years ago
Solve the system of linear equations by substitution.
Anastasy [175]

Answer: The solution is the ordered pair (1/2,  -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.

note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)

===================================================

Explanation:

The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1

3x + 2y = 0

3x + 2( y ) = 0

3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1

3x + 2(1/2x) + 2(-1) = 0 .... distribute

3x + x - 2 = 0 .... note how 2 times 1/2 is 1

4x - 2 = 0

4x = 2

x = 2/4

x = 1/2

Use this x value to find the y value it pairs with

y = (1/2)*x - 1

y = (1/2)*(1/2) - 1 ... replace x with 1/2

y = 1/4 - 1

y = 1/4 - 4/4

y = (1-4)/4

y = -3/4

8 0
3 years ago
Please help<br>much appreciated ​
Ivanshal [37]

Answer:

(x,y)=(2,3)

Step-by-step explanation:

6 0
2 years ago
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Help me on calculating the area of the shaded part
Ymorist [56]

Answer:

1051 .55 {mm}^{2}

Step-by-step explanation:

Find the area of the square - area of 4 sectors

We'll use the formula to find one sector area

a =  \frac{1}{2}  \times  {r}^{2}  \times x

where r is the radius of one sector and x is the angle in radians

Since each angle is in a square, the angle of the sectors is 90 degrees.

Convert degrees to radians

90 =  \frac{1}{2} \pi \: rad

The radius of one sector is given by 70mm/2=35mm

One sector area:

\frac{1}{2}  \times {35}^{2}  \times  \frac{1}{2} \pi = 306.25\pi

Area of all 4 sectors:

4 \times 306.25\pi = 1225\pi

Area of the square:

70 \times 70  = 4900

Hence, Area of square - 4 Sectors:

4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)

6 0
3 years ago
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Please join help quickly
DanielleElmas [232]

Answer:

A hope its right!!

Step-by-step explanation:

Have a good day!

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